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Reflection of plane waves at the initially stressed surface of a fiber-reinforced thermoelastic half space with temperature dependent properties

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Abstract

In this paper, a model of two dimensional problem of generalized thermoelasticity for a fiber-reinforced anisotropic elastic medium under the effect of temperature dependent properties is established. Reflection phenomena of plane waves in an initially stressed thermoelastic medium is studied in the context of two theories proposed by Lord–Shulman and Green–Lindsay. Using proper boundary conditions, the amplitude ratios and energy ratios for various reflected waves are presented. The phase speeds, reflection coefficients and energy ratios are computed numerically with the help of MATLAB programming and are depicted graphically to show the effect of initial stress and temperature dependent properties. It is found that there is no dissipation of energy at the boundary surface during reflection. A comparison between the two theories is also depicted in the present investigation.

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Authors and Affiliations

  1. Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, 125001, India

    Sunita Deswal, Baljit Singh Punia & Kapil Kumar Kalkal

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  1. Sunita Deswal
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  2. Baljit Singh Punia
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  3. Kapil Kumar Kalkal
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Correspondence to Kapil Kumar Kalkal.

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Deswal, S., Punia, B.S. & Kalkal, K.K. Reflection of plane waves at the initially stressed surface of a fiber-reinforced thermoelastic half space with temperature dependent properties. Int J Mech Mater Des 15, 159–173 (2019). https://doi.org/10.1007/s10999-018-9406-9

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  • DOI: https://doi.org/10.1007/s10999-018-9406-9

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